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miskamm [114]
3 years ago
9

I’m confused on this one

Mathematics
1 answer:
sammy [17]3 years ago
5 0

The angles that form similarity are those that are vertically opposite and 2 pairs that are equal because the for a Z formation.


Since <LPM = <ONM then


\dfrac{LP}{NO}=\dfrac{LM}{MO}\\ \\\dfrac{5x - 10}{4x-9}=\dfrac{16}{12} Cross multiply

12*(5x - 10) = 16*(4x - 9) Remove the brackets on both sides.

60x - 120 = 64x - 144 Subtract 60x from both sides.

- 120 = 64x - 60x - 144

-120 = 4x - 144 Add 144 to both sides.

-120 + 144 = 4x

24 = 4x Divide by 4

24/4 = x

x = 6



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